# Assignments For Class 9 Mathematics Surface areas and Volumes

Assignments for Class 9 Mathematics Surface areas and Volumes have been developed for Standard 9 students based on the latest syllabus and textbooks applicable in CBSE, NCERT and KVS schools. Parents and students can download the full collection of class assignments for class 9 Mathematics Surface areas and Volumes from our website as we have provided all topic wise assignments free in PDF format which can be downloaded easily. Students are recommended to do these assignments daily by taking printouts and going through the questions and answers for Grade 9 Mathematics Surface areas and Volumes. You should try to do these test assignments on a daily basis so that you are able to understand the concepts and details of each chapter in your Mathematics Surface areas and Volumes book and get good marks in class 9 exams.

#### Class 9 Mathematics Surface areas and Volumes Important Questions and Answers

Question. The surface area of a cube whose edge is 11cm is
(a) 725cm2
(b) 726cm2
(c) 727cm2
(d) 728cm2

Ans.

B

Question. A match box measures 4cm X 2.5cm X 1.5cm. What will be the volume of a packet containing 12 such boxes?
(a) 15cm3
(b) 180cm3
(c) 90cm3
(d) 175cm3

Ans.

B

Question. The total surface area of a cone of radius r/2 and length 2 ∫ is

Ans.

C

Question. The surface area of sphere of radius 10.5cm is
(a) 1386cm2
(b) 616cm2
(c) 1390cm2
(d) 10cm2

Ans.

A

Question. The diameter of a garden roller is 1.4m and it is 2m long. How much area will it cover in 5 revolutions? (π = 22/7)

Ans.

44m2

Question. If surface areas of two spheres are in the ratio of 4: 9 then the ratio of their volumes is
(a) 16/27
(b) 4/27
(c) 8/27
(d) 9/27

Ans.

A

Question. A solid cylinder has a total surface area of 231cm2. Its curved surface area is 2/3 of the total surface area. Find the volume of the cylinder.

Ans.

269.5cm2

Question. A well with 10m inside diameter is dug 14m deep. Earth taken out of it is spread all around to a width of 5m to form an embankment. Find the height of embankment.

Ans.

4.66m

Question. The dimensions of a cubiod are in the ratio of 1 : 2 : 3 and its total surface area is 88m2. Find the dimensions.

Ans.

2, 4, 6 cm

Question. Find the volume of a sphere whose surface area is 154cm2.

Ans.

179.66cm2

Question. A cuboidal oil tin is 30cm X 40cm X 50cm. Find the cost of the tin required for making 20 such tins if the cost of tin sheet is Rs. 20/m2.

Ans.

Rs. 376

Question. The radius and height of a cone are in the ratio 4 : 3. The area of the base is 154cm2. Find the area of the curved surface.

Ans.

192.5cm2

Question. A hollow cylindrical pipe is 210cm long. Its outer and inner diameters are 10cm and 6cm respectively. Find the volume of the copper used in making the pipe.

Ans.

10560cm3

Question. A hemisphere of lead of radius 8cm is cast into a right circular cone of base radius 6cm. Determine the height of the cone.

Ans.

28.44

Question. A sphere, cylinder and cone are of the same radius and same height. Find the ratio of their curved surfaces.

Ans.

4 : 4 : √5

Question. A semi circular sheet of metal of diameter 28cm is bent into an open conical cup. Find the depth and capacity of cup.

Ans.

12.12cm, 622.26cm3

Question. A hemispherical bowl of internal diameter 36cm contains a liquid. This liquid is to be filled in cylindrical bottles of radius 3cm and height 6cm. How many bottles are required to empty the bowl?

Ans.

72

Question. Find the lateral curved surface area of a cylindrical petrol storage tank that is 4.2m in diameter and 4.5m high. How much steel was actually used, 1/12 if of steel actually used was wasted in making the closed tank.

Ans.

59.4m2, 95.04m2

Question. Find the volume of the largest right circular cone that can be fitted in a cube whose edge is 14cm.

Ans.

718.66cm3

Question. The curved surface area of a right circular cylinder of height 14cm is 88cm2. Find the diameter of the base of the cylinder.
(a) 1cm
(b) 2cm
(c) 3cm
(d) 4cm

Ans.

B

Question. A cone of height 24cm and slant height 25cm has a curved surface area 550cm2. Find its volume use π = 22/7

Ans.

1232 cm2

Question. Three cubes of each side 4cm are joining end to end. Find the surface area of resulting cuboid.

Ans.

224 cm2

Question. The radius and height of a cone are 6cm and 8cm respectively. Find the curved surface area of the cone.

Ans.

60πcm2

Question. A wooden toy is in the form of a cone surmounted on a hemisphere. The diameter of the base of the cone is 6cm and its height is 4cm. Find the cost of painting the toy at the rate of Rs. 5 per 1000cm2.

Ans.

Rs. 0.51

Question. A metallic sheet is of the rectangular shape with dimensions 48cm X 36cm. From each one of its corners, a square of 8cm is cutoff. An open box is made of the remaining sheet. Find the volume of the box.

Ans.

5120cm3

Question. Three metal cubes whose edge measure 3cm, 4cm and 5cm respectively are melted to form a single cube, find its edge.

Ans.

6cm

Question. If the radius of a sphere is doubled, what is the ratio of the volume of the first sphere to that of second sphere?

Ans.

1:8

## Assignments for Class 9 Mathematics Surface areas and Volumes as per CBSE NCERT pattern

Some advantages of Free Assignments for Class 9 Mathematics Surface areas and Volumes

1. Solving Assignments for Mathematics Surface areas and Volumes Class 9 helps to further enhance understanding of the topics given in your text book which will help you to get better marks
2. By solving one assignments given in your class by Mathematics Surface areas and Volumes teacher for class 9 will help you to keep in touch with the topic thus reducing dependence on last minute studies
3. You will be able to understand the type of questions which are expected in your Mathematics Surface areas and Volumes class test
4. You will be able to revise all topics given in the ebook for Class 9 Mathematics Surface areas and Volumes as all questions have been provided in the question banks
5. NCERT Class 9 Mathematics Surface areas and Volumes Workbooks will surely help you to make your concepts stronger and better than anyone else in your class.
6. Parents will be able to take print out of the assignments and give to their child easily.

All free Printable practice assignments are in PDF single lick download format and have been prepared by Class 9 Mathematics Surface areas and Volumes teachers after full study of all topics which have been given in each chapter so that the students are able to take complete benefit from the worksheets. The Chapter wise question bank and revision assignments can be accessed free and anywhere. Go ahead and click on the links above to download free CBSE Class 9 Mathematics Surface areas and Volumes Assignments PDF.

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